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Finding the Third Proportional to 347,449.50 and 522,009

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Solution

The third proportional to 347,449.50 and 522,009 is: 784,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,449.50 : 522,009 = 522,009 : x
  2. Step 2: Convert to fraction form
    347,449.50/522,009 = 522,009/x
  3. Step 3: Cross multiply
    347,449.50x = 522,009 × 522,009
  4. Step 4: Simplify right side
    347,449.50x = 272,493,396,081
  5. Step 5: Solve for x
    x = 272,493,396,081/347,449.50
  6. Step 6: Final answer
    x = 784,267.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.